Cold can be consuming, especially for Chan who faced the close to trauma experience of almost losing his toes. We all remember the experience he had there, what he accomplished and what he encountered. Reaching the cold parts of Ignis gave him small flashes of memory, most of which were bad.
The only bit of sanity he managed to maintain when thinking about such a journey, the aid of the unliving he recieved there makes him feel better. Father or just a teasing ghost, a desperate tribe or a sympathetic being. For Chan, help is help. Although in most cases he is quite dumb and a die hard alcoholic, he knows how to appreciate and remembers each good deed people did towards him no matter how small the deed.
Once they reached Snow, their final task to such a travel would be to locate Frozen Toe Kingdom where the locals afterwards will direct him towards the Giant illustratio, but that shortly became a problem! Why would it even become a problem you might me curious enough to ask?